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Finding the Fourth Proportional to 153.22, 210.98 and 131.34

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Solution

The fourth proportional to 153.22, 210.98 and 131.34 is: 180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.22 : 210.98 = 131.34 : x
  2. Step 2: Convert to fraction form
    153.22/210.98 = 131.34/x
  3. Step 3: Cross multiply
    153.22x = 210.98 × 131.34
  4. Step 4: Simplify right side
    153.22x = 27,710.11
  5. Step 5: Solve for x
    x = 27,710.11/153.22
  6. Step 6: Final answer
    x = 180.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.